An error analysis of two related quadrature methods for computing zeros of analytic functions.
type: Item
instance of: scholarly article
title: An error analysis of two related quadrature methods for computing zeros of analytic functions.
zbMATH Open document ID: 1139.65307
DOI: 10.1016/S0377-0427(02)00724-0
author: Tetsuya Sakurai
author: Peter Kravanja
author: Marc van Barel
author: Hiroshi Sugiura
published in: Journal of Computational and Applied Mathematics
publication date: 2003-05-19T00:00:00Z
review text: The authors present an error analysis for two related quadrature methods (the Delves-Lyness method and its modification by Kravanja, Sakurai and Van Barel) for computing all the zeros of an analytic function that lie inside the unit circle. The forward and the backward approximation error in case the integrals are computed via the trapezoidal rule on the unit circle were considered. Numerical experiments were given to illustrate the main results.
Mathematics Subject Classification ID: 65H05
Mathematics Subject Classification ID: 65D32
zbMATH DE Number: 1912287
zbMATH Keywords: Zeros of analytic functions
zbMATH Keywords: error analysis
zbMATH Keywords: quadrature methods
reviewed by: Matthew He
describes a project that uses: ZEAL
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1912287